The wheel consists of a 5.0-kg rim of radius r 260 mm with hub and spokes of negligible mass. The wheel ismounted on the 4.8-kg yoke OA with mass center at G and with a radius of gyration about O of 400 mm. If theassembly is released from rest in the horizontal position shown and if the wheel rolls on the circular surfacewithout slipping, compute the velocity of point A when it reaches A.Assume d 360 mm, R 575 mm.GAnswer: VAm/s

Show the diagram showing a wheel mounted on a yoke rolling on a circular surface.

Answered: The wheel consists of a 5.0-kg rim of…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The rod AB is non-uniform with a radius of gyration of 4.00 ft with respect to a horizontal axis through the center of mass G. It weighs 161 lb. At the moment shown the rod has a counterclockwise angular velocity of 3.00 rad/sec, and the spring is compressed by 2.00 ft. Calculate the force constant of the spring that will reduce the angular velocity of the rod to 1.50 rad/sec when it reaches the horizontal position. Assume the blocks A and B are weightless.
The 29-kg spool of outer radius ro=530 mm has a centroidal radius of gyration k=355 mm and a central shaft of radius ri=215 mm. The spool is at rest on the incline when a tension T=204 N is applied to the end of a cable which is wrapped securely around the central shaft as shown. Determine the acceleration aaa of the spool center GGG and the friction force FFF acting at the interface of the spool and incline. The friction coefficients there are μs=0.28 and μk=0.17. The tension T is applied parallel to the incline and the angle θ=16. The acceleration aaa and the force F are both positive if up the incline, negative if down.
The shown body is composed of a disk with mass 10 kg and a slender bar with mass 5kg which is released from rest form the 4m Im horizontal condition (it is released when 0 = 0). calculate the angular velocity and angular acceleration and the forces at the hinge point (Point O) when 0 = 60 deg. Length of bar is 4m and the radius of disk is Im.
SOLVE USING PRINCIPLE OF WORK AND ENERGY
The slotted circular disk whose mass is 4.9 kg has a radius of gyration about O of 230 mm. The disk carries the four steel balls, each of mass 0.17 kg and located as shown, and rotates freely about a vertical axis through O with an angular speed of 164 rev/min. Each of the small balls is held in place by a latching device not shown. If the balls are released while the disk is rotating and come to rest relative to the disk at the outer ends of the slots, compute the new angular speed N of the disk. Also find the magnitude |AE| of the energy loss due to the impact of the balls with the ends of the slots. Neglect the diameter of the balls and discuss this approximation. 164 rev/min 145 mm 305 mm
The speed of the pickup truck’s engine is controlled by the Porter governor with4 arms of equal length, and pivot on the axis of rotation. Each ball has a massof 4 kg and the mass of the central load on the sleeve is 20 kg. The radius ofrotation of the ball is 150 mm when the governor begins to lift, and 200 mm whenthe governor is at maximum speed. The initial angular speed of the engine’scrank is 14 rad/s, and it has reached a maximum speed at an acceleration of 0.4rad/s2 after 5 seconds. 2.1. If the speed of the crank of an engine is equal to the speed of its governor,calculate the angle between the upper arm and axis of rotation (?) when thegovernor starts to lift and when it is at maximum speed.(11)2.2. Prove that the length of the governor’s arms is equal.
The 15 kg pendulum shown has its mass center at G and a radius of gyration about its mass center of kG = 200 mm and was released from rest when 0 = 0°. Spring AB has a stiffness of k = 200 N/m and is un-stretched when 0 = 90°. The angular velocity of the pendulum in rad/s at the instant 0 = 90° is: -0.6 m- а, 3.2 · b. 4.3 m . с. 3.6 0.1 m · d. 4.4 О е. 3.4 O f. 3.8 O g. 4.6
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The 4.8-kg rod AB is attached to a collar of negligible mass at A and to a flywheel at B. The flywheel has a mass of 16 kg and a radius of gyration of 180 mm. If the angular velocity of the flywheel is to be the same in the position shown and when point B is directly above C, determine the required value of its angular velocity in the position shown in the figure. 720 mm B 240 mm The required value of angular velocity of the flywheel is rpm (Click to select)
The circular disk of 145-mm radius has a mass of 38 kg with centroidal radius of gyration k bar = 25 mm and has a concentric circular groove of 55-mm radius cut into it. A steady force Tis applied at an angle theta to a cord wrapped around the groove as shown. If T = 40 N, theta = 0, mu_s = 0.11, and mu_k = 0.09, determine the angular acceleration a of the

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